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The reaction $A \rightarrow B$ is carried out isothermally on a porous catalyst. The intrinsic reaction rate is $kC_{A}^{2}$, where $k$ is the rate constant and $C_{A}$ is the concentration of $A$. If the reaction is strongly pore-diffusion controlled, the observed order of the reaction is

  1. $1$
  2. $2$
  3. $\frac{3}{2}$
  4. $\sqrt{2}$
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